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Finding the Third Proportional to 181,670 and 391,107

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Solution

The third proportional to 181,670 and 391,107 is: 841,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,670 : 391,107 = 391,107 : x
  2. Step 2: Convert to fraction form
    181,670/391,107 = 391,107/x
  3. Step 3: Cross multiply
    181,670x = 391,107 × 391,107
  4. Step 4: Simplify right side
    181,670x = 152,964,685,449
  5. Step 5: Solve for x
    x = 152,964,685,449/181,670
  6. Step 6: Final answer
    x = 841,991.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.